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If sin{cot^-1(x+1)}="cos"(tan^(-1)x), th...

If `sin{cot^-1(x+1)}="cos"(tan^(-1)x),` then find `x`

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To solve the equation \( \sin(\cot^{-1}(x+1)) = \cos(\tan^{-1}(x)) \), we will follow these steps: ### Step 1: Define the angles Let \( \theta = \cot^{-1}(x + 1) \). This means that: \[ \cot(\theta) = x + 1 \] ...
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